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Finding the Fourth Proportional to 9,922.68, 14,813.01 and 9,576.39

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Solution

The fourth proportional to 9,922.68, 14,813.01 and 9,576.39 is: 14,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.68 : 14,813.01 = 9,576.39 : x
  2. Step 2: Convert to fraction form
    9,922.68/14,813.01 = 9,576.39/x
  3. Step 3: Cross multiply
    9,922.68x = 14,813.01 × 9,576.39
  4. Step 4: Simplify right side
    9,922.68x = 141,855,160.83
  5. Step 5: Solve for x
    x = 141,855,160.83/9,922.68
  6. Step 6: Final answer
    x = 14,296.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.